What is the 4459th prime number?
The 4459th prime number is 42667. The next prime is 42677 (a gap of 10) and the one before is 42649.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4459th one is 42667.
- 2
42667 is prime because no prime up to ā42667 ā 206.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4459th prime is close to 4459 Ć ln(4459) ā 37468, and here it is 42667.
- 4
42667 has no twin: neither 42665 nor 42669 is prime.
Primes around the 4459th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4456 | 42641 | 30 |
| 4457 | 42643 | 2 |
| 4458 | 42649 | 6 |
| 4459 | 42667 | 18 |
| 4460 | 42677 | 10 |
| 4461 | 42683 | 6 |
| 4462 | 42689 | 6 |
Questions
What is the 4459th prime number?
42667.
Which prime number is 42667?
42667 is the 4459th prime number.
What is the sum of the first 4459 primes?
89,763,518.